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A07688 The carpenters rule, or, a booke shewing many plain waies, truly to measure ordinarie timber, and other extraordinarie sollids, or timber with a detection of sundrie great errors, generally committed by carpenters and others in measuring of timber; tending much to the buyers great losse. Published especially for the good of the Companie of Carpenters in London, and others also; ... By Richard More carpenter. More, Richard, carpenter. 1602 (1602) STC 18075; ESTC S101895 34,355 60

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at the left side and the inches and parts of an inch in A C D         ½ 1 12   8   2 6   4 9 ⅗ 3 4   3 5 1 7 4 3   2 8 5 2 4 ⅘ 2 2 2 11 6 2   1 10 1 7 7 1 8 4 7 1 7 ⅕ 8 1 6 1 4 16 17 9 1 4 1 3 3 19 10 1 2 ⅖ 1 2 ¾ 11 1 1 1 11 1 ½ 12 1     11 ½ 13   11 1 13   10 ⅔ 14   10 2 7   9 ⅞ 15   9 ⅗   9 2 7 16   9   8 ¾ 17   8 ½   8 ⅕ 18   8   7 ⅘ 19   7 4 7   7 ⅓ 20   7 ⅕   7 1 41 21   6 6 7   6 5 7 22   6 ½   6 ⅜ 23   6 ¼   6 ⅛ 24   6   5 ⅞ 25   5 ¾   5 11 17 26   5 ½   5 3 7 27   5 ⅓   5 2 9 28   5 1 7   5 1 10 29   5   4 ⅞ 30   4 ⅘   4 5 7 the broder row at the right side thereof Note also that where as you sée in the fractions sometimes one pricke sometimes two prickes that when one pricke stands before the fractions it signifies a littellesse and two prickes a little more Now if that the breadth of the boord be a certaine number of inches and one halfe inch then is the length of a foote ouer against those number of inches in the colum vnder D. But because an example will giue more light then many words otherwise Therefore suppose the boord to be 11 inches broade then finde 11 in the row AB and ouer against it in the colum C you shall sée 1.1 and 1 11 which is one foote one inch and one eleuenth part of an inch But if the boord were 11 inches and ½ broad then séeke the length of a foote ouer against that 11 in the colum D and it is 12 inches and ½ So if the breadth of the boord were 25 inches and ½ looke for 25 in the row AB and ouer against it in the colum D you shall sée fiue inches and fiue seauenth parts of an inch And let this suffice for the Table of boord-measure The Table of Timber-measure IN the row AB is set downe the squares of Timber from one inch to 30 inches Ouer against euery one of these in the colum vnder C is set downe the length of a foote in féete and inches and parts of an inch The féete are set downe in the row at the left hand of this columas farre as the squares doe yeld a foote and the inches and parts of an inch are set downe in the row towards the left hand of the same colum But if the squares of the péece of timber be any number of inches betwéene 1 and 10 and an od halfe inch more then ouer against those number of inches in the colum vnder D you shall finde the length of a foote in féete inches and parts of an inch the féete standing as in the other colum in the row at the left side thereof and the inches parts of an inch in the row at the right side The reason why I added those halfe inches from 1 to 10 is because in measuring of Timber by deducting the lost square as is set down in the fourth chapter of this second part of this booke you shal haue occasion oft times to séeke out the length of a foote for a square of one inch and a halfe two inches and ½ thrée inches and ½ and so forth to ten inches Here farther it is to be noted that whereas you shall finde for the most part before the numerafor of the fractions sometimes one pricke sometimes two prickes that one pricke doth signifie somewhat lesse and two prickes doth signifie somwhat more This I haue noted as Master Digges hath also don though it matters not whether such more or lesse were obserued or not séeing no sensible error comes by omitting them A C D         ½ 1 144   64   2 36   23 ½ 3 16   11 9 1 16 4 9   7 1 ⅓ 5 5 9 3 25 4 9 ⅛ 6 4   3 4 8 9 7 2 11 2 7 2 4 ¾ 8 2 3 1 11 12 13 9 1 9 ⅓ 1 7 1 7 10 1 5 2 7     11 1 2 2 7     12 1       13   10 ⅕     14   8 13 16     15   7 ⅔     16   6 ¾     17   6     18   5 ⅓     19   4 25 32     20   4 5 16     21   3 11 12     22   3 4 7     23   3 ¼     24   3     25   2 ¾     26   2 9 16     27   2 ⅜     28   2 ⅕     29   2 1 16     30   1 11 12     An example or two in this case shall not be vnnecessarie If the square of the péece giuen be fiue inches finde fiue in the row AB and ouer against it in the colum of C you shall finde fiue foote nine inches and thrée twentie fiue parts of an inch If the square giuen be thirtéene then ouer against thirtéene you shall finde on the right side of the colum C 10⅕ which is 10 inches and somewhat more then one fift part of an inch if the square giuen be sixe inches and a halfe then ouer against sixe you shall finde the colum D for the length of a foote thrée foote foure inches and somewhat lesse then eight ninth parts of an inch more examples néedes not Enough hath béen said to any that is but of meane capacitie and desirous to learne The end of the second part THE THIRD PART OF THE CARPENTERS RVLE Containing sundrie true waies to measure superficies and sollids or as wee call them Boords and Timber of extraordinarie formes CHAPTER 1. The meaning of certaine tearmes of Geometrie generally vsed in this third part WHen I had written the former part of this booke concerning measuring of ordinarie Timber and Boord and did consider that besides the pleasure there would come some good to Carpenters if they could also measure extraordinarie fourmes I haue therefore thought good to adde this part vnto the other two True it is that Master Digs in his Tectonicon hath not béen silent of the most of these things But because he applies them to measuring of land few or none doe thinke that they belong also to measuring of Timber and therefore my labour I hope is not vnnecessarie though I should but haue repeated the same thing and apply them to our vse without adding any other thing I haue knowne some that would buy whole frames readie wrought by measure but
sure I am that no Carpenter could haue measured it for them without the knowledge of that which is written hereafter And because I shall haue occasion to vse many tearmes of Geometrie by which I may with more ease deliuer and you with more plainnes perceiue my minde in these things I haue therefore set downe the meaning as plainly as I can of some Geometricall tearmes which most serue for our present purpose And in this Chapter I explaine onely those tearmes that generally I vse throughout this whole part and which doe not properly belong to any one chapter The rest I will declare in the beginning of euery chapter as the matter thereof giues occasion But to the matter 1. An Angle is nothing els but a corner made by the méeting of two lines for I speake not of sollid Angles 2. A right Angle which wee call a squire or a square Angle is that whose two lines comprehending or making the Angle stand perpendicular or plumbe the one to the other 3. An oblique Angle which we call beuell or skew is euery angle not being a right angle whether it be greater or lesse or as we say whether it spread or clitch 4. A Superficies is that which hath onely length and breadth and no thicknes at all Here note that whereas we call boords superficies and Timber sollids it is not because a boord is not a sollid for it hath length breadth and thicknes but because we respect not in measuring of them but only their length and breadth 5. A Sollid or a bodie is that which hath length breadth and thicknes 6. Parallels are those lines superficies or sollids that differ euery where alike or are not néerer together in one place then in another 7. A Figure is any kinde of superficies or sollid that is bounded about as Triangles Squares Circles Globes Cones Prismes and the rest 8. The Base of a Figure is any side as wee may say thereof vpon which it may be supposed to stand Or if you take any side of a figure for the ground or bottome or lower part thereof that same is the Base 9. The height of a figure is the length of a Perpendicular or plumme line falling from the top thereof to the base ground or bottome thereof And whether this Perpendicular or plum line fall within or without the figure it makes no matter so as it be neither higher nor lower then the base or bottome CHAP. 2. How to raise and let fall a Perpendicular A Perpendicular line is that which stands plumme vpright vpon another leaning neither the one way nor the other A Perpendicular is said to be raised when a point is giuen in a line from which it must rise It is said to bée let fall when a point is giuen aboue the line from which it must fall Now besides that you may both raise and let fall a Perpendicular by a squire or square there are many waies Geometrically to doe both the one and the other And because there is especiall vse in this third part of letting fall a perpendicular or plumme line from a point giuen as also from an angle in a figure to the base I would not haue men ignorant how to doe the same without a squire which is not alwaies at hand when a rule paire of compasses are And yet I will set downe onely one way of many to auoide tediousnes which is thus Let the point giuen be A the line giuen BC. Open the Cōpasses to any distance conuenient and setting one foote in the point A make an arke or péece of a Circle with the other foote till it cut the line BC twice Those two places of cutting we call Intersections and are here in this example at B and C. Then finde the middle betwéene those two Intersections and from that middle draw a line to the point A which is the point giuen and that line shal be perpendicular or plumbe from the point A to the line B C as was required CHAP. 3. Of a Triangle and a Prisme what they are and how they be measured Triangles are diuers both in respect of their sides and angles and may bee measured diuers waies But let this one way serue for all Multiplie halfe of the base by all the height or perpendicular Or which is all one multiplie all the base by halfe the height or perpendicular and either of the products giues the content of the Triangle Here I pray you remember what I meane by the base and height or altitude according as was she wed in the former Chapter In this figure you may suppose the longest line to be the base and then the prickt line is the height or perpendicular Now note that a Prisme is that whose two opposite plaines or ends be equall like and parallell the other sides being parallelograms that is figures whose opposite sides are equall and whose angles be all right angles So that euery péece of timber may be called a Prisme not being broder at one end then at another of what fashion soeuer it be whether the base or end thereof be of thrée sides as cants or of foure fiue sixe or more sides as other timber and whether the sides be of equall length or of vnequall How to measure any Prisme or péece of timber of whatsoeuer fourme or fashion the base or end thereof is you néede but multiplie the content of the base or end by the altitude or height or as wee call it the length of the péece and the product giues the content thereof This might serue once for all as sufficient to measure sollids or timber whose bases or ends are like and equall so that it néeded not but to teach how to measure euery kinde of base as Triangles Quadrangles c. But yet for plainnes sake I will giue examples of euery forme with some varietie of measuring them when I speake of measuring plaine figures as being their bases 1. Therefore if the base of your Prisme or péece of timber were the said figure A multiplte the content of the Triangle A by the length of the péece and the product giues the content thereof 2. Or els you may measure that Prisme or péece of timber thus Take the whole perpendicular and suppose it to be one side of a squared péece of timber as we call it and take halfe the base for the other side and so measure it by any of the waies taught in the second part of this booke This being vnderstood which is here written the vse hereof is very generall For besides that the Carpenter may measure hereby any canted péece of timber as steps for staires and canted railes and such like the plaisterer also who often worketh by the yard may hereby measure gable-ends and such like fourmes The Glasier hath likewise vse hereof and also it may stand the Mason oft in stead CHAP. 4. What a Parallelogram is and how it is measured A Parallelogram is a figure whose